## Are (x+10)+x+9 and 2(x+7)+5 equivalent?

Let's explore whether the expressions **(x+10)+x+9** and **2(x+7)+5** are equivalent. To determine equivalence, we need to simplify both expressions and see if they result in the same outcome.

### Simplifying the Expressions

**Expression 1: (x+10)+x+9**

**Remove parentheses:**x + 10 + x + 9**Combine like terms:**2x + 19

**Expression 2: 2(x+7)+5**

**Distribute the 2:**2x + 14 + 5**Combine like terms:**2x + 19

### The Verdict

After simplification, we see that both expressions result in **2x + 19**.

Therefore, **(x+10)+x+9** and **2(x+7)+5** are indeed **equivalent expressions**.

This means that no matter what value you substitute for 'x', both expressions will produce the same result.